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Finding the Third Proportional to 446,735 and 963,454

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Solution

The third proportional to 446,735 and 963,454 is: 2,077,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,735 : 963,454 = 963,454 : x
  2. Step 2: Convert to fraction form
    446,735/963,454 = 963,454/x
  3. Step 3: Cross multiply
    446,735x = 963,454 × 963,454
  4. Step 4: Simplify right side
    446,735x = 928,243,610,116
  5. Step 5: Solve for x
    x = 928,243,610,116/446,735
  6. Step 6: Final answer
    x = 2,077,839.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.